Question

Find the distance between the points: (-6,7) and (-1,-5). In your final answer, include the formula and calculations that you used to find the distance

Answer 1

it's called the distance formula. The square root of (-5-7)^2+(-1-(-6))^2

This simplifies to the square root of -12^2+5^2, or the square root of 144+25.

144+25=169.

the square root of 169 is 13

Answer 2

Distance between the given points is 13 units.

Explanation:

Since we know the formula of distance between two points (x, y) and (x', y') is defined by

Distance =
`\sqrt{(x-x')^(2) +(y-y')^(2) }`

Now we have to find the distance between (-6, 7) and (-1, -5) by using the formula given above.

Distance =
`\sqrt{(-1+6)^(2) +(7+5)^(2) }`

=
`\sqrt{(5)^(2) +(12)^(2) }`

=
`√((25 + 144))`

=
`√(169)`

= 13 units.

Therefore, distance between these points will be 13 units.